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Finding the Fourth Proportional to 5,301.76, 7,317.10 and 3,205.88

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Solution

The fourth proportional to 5,301.76, 7,317.10 and 3,205.88 is: 4,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.76 : 7,317.10 = 3,205.88 : x
  2. Step 2: Convert to fraction form
    5,301.76/7,317.10 = 3,205.88/x
  3. Step 3: Cross multiply
    5,301.76x = 7,317.10 × 3,205.88
  4. Step 4: Simplify right side
    5,301.76x = 23,457,744.55
  5. Step 5: Solve for x
    x = 23,457,744.55/5,301.76
  6. Step 6: Final answer
    x = 4,424.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.